Thue's Fundamentaltheorem, II: Further refinements and examples.

In this paper, we sharpen and simplify our earlier results based on Thue's Fundamentaltheorem and use it to obtain effective irrationality measures for certain roots of particular polynomials of the form ( x − t ) n + ( x + t ) n , where n ≥ 4 is a positive integer and t is a negative integer. For n = 4 and n = 5 , we find infinitely many such algebraic numbers. [ABSTRACT FROM AUTHOR]